Stiffness of Engine Valve Spring Calculator

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Design of IC Engine Components

Air-Standard Cycles

Engine Performance Parameters

Fuel Injection in IC Engine

Fundamentals of IC Engine

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✖Force to Lift Engine Valve is the amount of force (a push or pull upon the valve) that is required to lift the valve.ⓘ Force to Lift Engine Valve [P₂]			+10% -10%
✖Lift of Valve is the height to which the valve is lifted during operation for the flow of gases.ⓘ Lift of Valve [h_max]			+10% -10%

✖Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.ⓘ Stiffness of Engine Valve Spring [k]

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Formula

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Stiffness of Engine Valve Spring

Formula

`"k" = "P"_{"2"}/"h"_{"max"}`

Example

`"22.72727N/mm"="250N"/"11mm"`

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Stiffness of Engine Valve Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness of Valve Spring = Force to Lift Engine Valve/Lift of Valve
k = P₂/h_max
This formula uses 3 Variables

Variables Used

Stiffness of Valve Spring - (Measured in Newton per Meter) - Stiffness of Valve Spring is a measure of the resistance offered by an elastic spring to deformation, every object in this universe has some stiffness.
Force to Lift Engine Valve - (Measured in Newton) - Force to Lift Engine Valve is the amount of force (a push or pull upon the valve) that is required to lift the valve.
Lift of Valve - (Measured in Meter) - Lift of Valve is the height to which the valve is lifted during operation for the flow of gases.

STEP 1: Convert Input(s) to Base Unit

Force to Lift Engine Valve: 250 Newton --> 250 Newton No Conversion Required
Lift of Valve: 11 Millimeter --> 0.011 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = P₂/h_max --> 250/0.011

Evaluating ... ...

k = 22727.2727272727

STEP 3: Convert Result to Output's Unit

22727.2727272727 Newton per Meter -->22.7272727272727 Newton per Millimeter (Check conversion here)

FINAL ANSWER

22.7272727272727 ≈ 22.72727 Newton per Millimeter <-- Stiffness of Valve Spring

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 25 Valve Spring Calculators

Diameter of Wire of Engine Valve Spring

Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*((Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve)*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring))

Wahl Factor for Engine Valve Spring given Spring Index

Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve))

Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire

Go Mean Coil Diameter of Valve Spring = Spring Index for Valve Spring*(sqrt((8*Wahl Factor of Valve Spring*(Axial Force on Valve Spring*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring)))

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring

Go Wire Diameter of Valve Spring = ((8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Maximum Compression in Valve Spring))^(1/4)

Maximum Compression of Engine Valve Spring given Total Turns

Go Maximum Compression in Valve Spring = (8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)

Maximum Compression of Engine Valve Spring given Number of Active Turns

Go Maximum Compression in Valve Spring = (8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)

Solid Length of Engine Valve Spring

Go Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter of Valve Spring

Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire

Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Shear Stress in Valve Spring))

Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter

Go Spring Index for Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Axial Force on Valve Spring)

Wahl Factor for Engine Valve Spring given Mean Coil Diameter and Wire Diameter

Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*Axial Force on Valve Spring)

Diameter of Wire of Engine Valve Spring given Total Turns of Spring

Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*(Stiffness of Valve Spring*(Total Coils in Valve Spring-2)))/(Modulus of Rigidity of Valve Spring))^(0.25)

Diameter of Wire of Engine Valve Spring given Number of Active Turns of Spring

Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring*Active Coils in Valve Spring)/(Modulus of Rigidity of Valve Spring))^(0.25)

Stiffness of Engine Valve Spring given Total Turns of Spring

Go Stiffness of Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)

Free Length of Engine Valve Spring

Go Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring

Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness

Go Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2

Maximum Compression of Engine Valve Spring given its Free Length and Solid Length

Go Maximum Compression in Valve Spring = (Free Length of Valve Spring-Solid Length of Valve Spring)/(1.15)

Solid Length of Engine Valve Spring given its Free Length and Maximum Compression

Go Solid Length of Valve Spring = Free Length of Valve Spring-1.15*Maximum Compression in Valve Spring

Solid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter

Go Solid Length of Valve Spring = (Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring

Solid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter

Go Solid Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring

Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness

Go Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2)

Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass

Go Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2

Total Gap between Coils of Engine Valve Spring given Maximum Compression of Spring

Go Total Axial Gap between Valve Spirng Coils = 0.15*Maximum Compression in Valve Spring

Maximum Compression of Engine Valve Spring given Total Gap between Coils of Spring

Go Maximum Compression in Valve Spring = Total Axial Gap between Valve Spirng Coils/0.15

Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Mean Coil Diameter of Engine Valve Spring given Wire Diameter

Go Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring

Stiffness of Engine Valve Spring Formula

Stiffness of Valve Spring = Force to Lift Engine Valve/Lift of Valve
k = P₂/h_max

Working of Valve Spring

The purpose of the valve spring is to exert a force on the rocker arm in order to maintain contact between the follower and cam at the other end. During the suction stroke, the initial spring force keeps the valve closed against negative pressure inside the cylinder. The total force acting on the spring of the exhaust valve consists of two factors, the initial spring force and the force required to lift the valve.

How to Calculate Stiffness of Engine Valve Spring?

Stiffness of Engine Valve Spring calculator uses Stiffness of Valve Spring = Force to Lift Engine Valve/Lift of Valve to calculate the Stiffness of Valve Spring, The Stiffness of engine valve spring is the amount of resistive force per unit length offered by the engine valve spring to its deformation. Stiffness of Valve Spring is denoted by k symbol.

How to calculate Stiffness of Engine Valve Spring using this online calculator? To use this online calculator for Stiffness of Engine Valve Spring, enter Force to Lift Engine Valve (P₂) & Lift of Valve (h_max) and hit the calculate button. Here is how the Stiffness of Engine Valve Spring calculation can be explained with given input values -> 0.022727 = 250/0.011.

FAQ

What is Stiffness of Engine Valve Spring?

The Stiffness of engine valve spring is the amount of resistive force per unit length offered by the engine valve spring to its deformation and is represented as k = P₂/h_max or Stiffness of Valve Spring = Force to Lift Engine Valve/Lift of Valve. Force to Lift Engine Valve is the amount of force (a push or pull upon the valve) that is required to lift the valve & Lift of Valve is the height to which the valve is lifted during operation for the flow of gases.

How to calculate Stiffness of Engine Valve Spring?

The Stiffness of engine valve spring is the amount of resistive force per unit length offered by the engine valve spring to its deformation is calculated using Stiffness of Valve Spring = Force to Lift Engine Valve/Lift of Valve. To calculate Stiffness of Engine Valve Spring, you need Force to Lift Engine Valve (P₂) & Lift of Valve (h_max). With our tool, you need to enter the respective value for Force to Lift Engine Valve & Lift of Valve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stiffness of Valve Spring?

In this formula, Stiffness of Valve Spring uses Force to Lift Engine Valve & Lift of Valve. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stiffness of Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)
Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2

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